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Finding the Fourth Proportional to 135,749.82, 187,331.90 and 75,319.17

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Solution

The fourth proportional to 135,749.82, 187,331.90 and 75,319.17 is: 103,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,749.82 : 187,331.90 = 75,319.17 : x
  2. Step 2: Convert to fraction form
    135,749.82/187,331.90 = 75,319.17/x
  3. Step 3: Cross multiply
    135,749.82x = 187,331.90 × 75,319.17
  4. Step 4: Simplify right side
    135,749.82x = 14,109,682,143.43
  5. Step 5: Solve for x
    x = 14,109,682,143.43/135,749.82
  6. Step 6: Final answer
    x = 103,938.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.